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Theory of Structures

Theory of Structures
The ratio of crippling loads of a column having both the ends fixed to the column having both the ends hinged, is

1
4
3
2

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Theory of Structures
The horizontal deflection of a parabolic curved beam of span 10 m and rise 3 m when loaded with a uniformly distributed load l t per horizontal length is (where Ic is the M.I. at the crown, which varies as the slope of the arch).

150/EIc
50/EIc
100/EIc
200/EIc

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Theory of Structures
The equivalent length of a column of length L, having both the ends hinged, is

L/2
L
2L
S

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Theory of Structures
For determining the support reactions at A and B of a three hinged arch, points B and Care joined and produced to intersect the load line at D and a line parallel to the load line through A at D’. Distances AD, DD’ and AD’ when measured were 4 cm, 3 cm and 5 cm respectively. The angle between the reactions at A and B is

90°
45°
60°
30°

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Theory of Structures
A close coil helical spring of mean diameter D consists of n coils of diameter d. If it carries an axial load W, the energy stored in the spring, is

4W²Dn/d4N
4W²D3n²/d4N
4WD²n/d4N
4W²D3n/d4N

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Theory of Structures
The ratio of the length and diameter of a simply supported uniform circular beam which experiences maximum bending stress equal to tensile stress due to same load at its mid span, is

1/4
1/2
1/3
1/8

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